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Finding the Fourth Proportional to 9,121.35, 12,587.01 and 5,142.44

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Solution

The fourth proportional to 9,121.35, 12,587.01 and 5,142.44 is: 7,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.35 : 12,587.01 = 5,142.44 : x
  2. Step 2: Convert to fraction form
    9,121.35/12,587.01 = 5,142.44/x
  3. Step 3: Cross multiply
    9,121.35x = 12,587.01 × 5,142.44
  4. Step 4: Simplify right side
    9,121.35x = 64,727,943.70
  5. Step 5: Solve for x
    x = 64,727,943.70/9,121.35
  6. Step 6: Final answer
    x = 7,096.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.